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Finding the Fourth Proportional to 295,427.52, 407,645.73 and 166,347.27

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Solution

The fourth proportional to 295,427.52, 407,645.73 and 166,347.27 is: 229,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,427.52 : 407,645.73 = 166,347.27 : x
  2. Step 2: Convert to fraction form
    295,427.52/407,645.73 = 166,347.27/x
  3. Step 3: Cross multiply
    295,427.52x = 407,645.73 × 166,347.27
  4. Step 4: Simplify right side
    295,427.52x = 67,810,754,312.66
  5. Step 5: Solve for x
    x = 67,810,754,312.66/295,427.52
  6. Step 6: Final answer
    x = 229,534.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.